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Lookup NU author(s): Dr Michael Batty
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The usual definition of hyperbolicity of a group G demands that all geodesic triangles in the Cayley graph of G should be thin. Using the theorem that a subquadratic isoperimetric inequality implies a linear one, we show that it is in fact only necessary for all triangles from a given combing to be thin, thus giving a new criterion for hyperbolicity of finitely presented groups.
Author(s): Batty M
Publication type: Article
Publication status: Published
Journal: Proceedings of the Edinburgh Mathematical Society
Year: 1999
Volume: 42
Issue: 3
Pages: 445-454
Print publication date: 01/10/1999
ISSN (print): 0308-2105
ISSN (electronic): 1473-7124
Publisher: The R S E Scotland Foundation
URL: http://dx.doi.org/10.1017/S0013091500020447
DOI: 10.1017/S0013091500020447
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